1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Yuliya22 [10]
3 years ago
7

For the next three problems, evaluate each expression if x= -2, y=4, and z=-3

Mathematics
1 answer:
Dafna1 [17]3 years ago
4 0
Exponent rule : n^-x = 1/n^x
1.) (4 - 2(-2))^ -2 = (4 + 2)^-2 = 6^-2 = 1/6^2 = 1/36

2.) (y - z) ^-3 = (4 - (-3))^-3 = (4 + 3)^-3 = 7^-3 = 1/7^3 = 1/343

3.) (-2 - 5(4)^0 = (-2-20)^0 = -22^0 = 1 (any number to the 0 power is 1)
You might be interested in
Carla uses a compass and straightedge to construct perpendicular lines. Daryl uses technology to construct perpendicular lines.
pogonyaev

Answer:

Carla used human accuracy to create perpendicular lines.

-She will grab a pencil and a bond paper

-She will grab the straighthead and the compass.

-She will test with the compass if the straighthead is orientated correctly.

-She will now make a line with the correctly orientated straighthead and pencil.

-She has finished

Daryl, used technological ease to create perpendicular lines.

-He opens his PC

-He opens Microsoft Word™

-He will insert two lines, one orientated 0° ↑, and one orientated 90° →

-He now connects the two lines.

-He will print the file

-He has finished.

Step-by-step explanation:

4 0
2 years ago
Water flows through a pipe at a rate of 710 pints per day. Express this rate of flow in cubic feet per month. Round your answer
Snowcat [4.5K]

Answer:

356 ft³ per month.

Step-by-step explanation:

From the question,

Water flows at a rate of 710 pints per day.

We shall convert 710 pints to cubic feet (ft³).

This can be obtained as follow:

1 pint = 0.0167 ft³

Therefore,

710 pints = 710 × 0.0167 = 11.857 ft³

From the calculations made above, 710 pints is equivalent to 11.857 ft³.

Thus, we can say that water flows at a rate of 11.857 ft³ per day.

Finally, we shall determine the rate of flow of water in cubic feet per month.

Note: there are 30 days in a month.

Water flow at a rate of 11.857 ft³ per day.

Therefore, the rate of flow of water in 30 days will be = 30 × 11.857 ft³ = 356 ft³

Thus, the flow rate of water is 356 ft³ per month.

3 0
3 years ago
A person's heartbeat is 88 beats per minute. If his/her heart beats 3.1e9 times in a lifetime, how long (in whole years) does th
Anit [1.1K]
We can solve this problem by the rule of three.

88 beats-------------------1 minute
3.1*10⁹ beats------------    x

x=(3.1*10⁹ beats * 1 minute) / 88 beats=35227272.73 minutes.

Now, we express this amount of time in years.

1 year=365 days
365 days=365 day*(24 hour/1day)*(24 hour /1day)*(60 minutes /1hour)=
=525600 minutes.

525600 minutes----------------------1year
35227272.73 minutes----------------x
 
x=(35227272.73 minutes * 1year) / 525600 minutes=67.0229 years
≈ 67 years.

Answer:this person can live 67 years.

5 0
2 years ago
The diameter of a circle is 8 inches. What is the area?
makkiz [27]

Answer:

16 × π in 2

Step-by-step explanation:

the formula to find the area of a triangle is πr^2, you are given the diameter which equals 2r. so split the diameter in half and plug your number in. π4^2

4^2=16

16xπ

8 0
3 years ago
Describe a situation where it is easier to use decimals than friction,and explain why.
Bess [88]
<span>Describe a situation where it is easier to use decimals than fractions and explain why:
</span>When you must multiply numbers that are NOT whole, decimals are easier to change in the sense that setting up a multiplication problem with decimals rather than fractions is much simpler and easier to calculate.
3 0
3 years ago
Other questions:
  • what is the realtionship between the value of the digital 4 in the numbers 5,412 and the number 54,123?
    7·2 answers
  • I need help asap please
    12·1 answer
  • Q # ,16 thank you for help
    8·2 answers
  • I. There is a gap in the Potato Chips group
    14·1 answer
  • For the figure below the base area and the height has been provided. find the VOLUME
    15·1 answer
  • A team won 1/4 of its games. If they played 20 games, how many did they win?
    15·2 answers
  • What is 14 times 10 to the power of -7 in scientific notation
    6·1 answer
  • What kind of association does it have?
    11·2 answers
  • IM GIVING BRAINLIEST!!!
    10·1 answer
  • If a translation maps point A(-3,1) to point A′(5,5), the translation is:
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!